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Led by Pythagoras Simulacrum
The first module of the OCR GCSE Mathematics course — integers, fractions, decimals, percentages, indices, surds, standard form, estimation and bounds. Hosted by Pythagoras Simulacrum.
Led by Pythagoras Simulacrum
The question
The four operations with positive and negative integers, the structure of whole numbers — primes, factors, multiples, squares, cubes and roots — expressing numbers as products of prime factors, finding HCF and LCM from prime factorisations, the conventional order of operations, and using inverse operations to simplify and check calculations.
Outcome
The student can perform integer arithmetic, find prime factorisations, and use HCF, LCM, order of operations and inverse operations fluently. (Integer foundations)
Sub-units
Led by Pythagoras Simulacrum
The question
Fluency with the three representations of rational numbers — fractions (including mixed numbers and negatives), decimals (including recurring decimals to exact fractions), and percentages (including percentage change, multipliers, original value problems and simple interest). Non-calculator methods throughout.
Outcome
The student can calculate fluently with fractions, decimals and percentages, convert between all three representations, and solve percentage change and original value problems. (Rational number fluency)
Sub-units
Led by Pythagoras Simulacrum
The question
Index notation with positive, negative and fractional exponents, the three laws of indices, standard form (converting, ordering, calculating with and without a calculator), exact calculations with fractions and multiples of π, and surds — simplifying expressions and rationalising denominators.
Outcome
The student can apply the laws of indices, work in standard form, and simplify surds including rationalising denominators. (Extended number)
Sub-units
Led by Pythagoras Simulacrum
The question
Rounding to a given degree of accuracy, estimating calculations without a calculator, error intervals in inequality notation, the distinction between rounding and truncation, and calculating upper and lower bounds of derived quantities when inputs are rounded to a known accuracy.
Outcome
The student can round, estimate, write error intervals, and calculate upper and lower bounds of calculations. (Accuracy and limits)
Sub-units